Complete parametric approach for eigenstructure assignment in second-order systems using displacement-plus-acceleration feedback

This paper proposes a complete parametric approach for eigenstructure assignment in second-order system Mq̈+Dq̇+Kq=Cu using the displacement-plus-acceleration feedback controller. The expressions of closed-loop eigenvector matrix and feedback gains are in direct closed forms in terms of the closed-loop eigenvalues and a group parameter vectors, which represents the degree of design freedom. The main advantage of the proposed method is solved directly in matrix second-order framework, without transformation into the first-order form, and the numerical stability is better because it used only right coprime factorization and simple matrix transformation. The proposed algorithm is simple and does not contain `go back' procedures. Finally, computational results show its effect and simplicity.